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1006992 = 2435737
BaseRepresentation
bin11110101110110010000
31220011100000
43311312100
5224210432
633330000
711362560
oct3656620
91804300
101006992
11628628
12406900
1329346c
141c2da0
1514d57c
hexf5d90

1006992 has 120 divisors (see below), whose sum is σ = 3430336. Its totient is φ = 279936.

The previous prime is 1006991. The next prime is 1007021. The reversal of 1006992 is 2996001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27198 + ... + 27234.

21006992 is an apocalyptic number.

1006992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715168).

1006992 is an abundant number, since it is smaller than the sum of its proper divisors (2423344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006992 is an equidigital number, since it uses as much as digits as its factorization.

1006992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1006992 is about 1003.4899102632. The cubic root of 1006992 is about 100.2325255662.

The spelling of 1006992 in words is "one million, six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 81 84 108 111 112 126 144 148 162 168 189 216 222 243 252 259 296 324 333 336 378 432 444 486 504 518 567 592 648 666 756 777 888 972 999 1008 1036 1134 1296 1332 1512 1554 1701 1776 1944 1998 2072 2268 2331 2664 2997 3024 3108 3402 3888 3996 4144 4536 4662 5328 5994 6216 6804 6993 7992 8991 9072 9324 11988 12432 13608 13986 15984 17982 18648 20979 23976 27216 27972 35964 37296 41958 47952 55944 62937 71928 83916 111888 125874 143856 167832 251748 335664 503496 1006992